New loop expansion for the Random Magnetic Field Ising Ferromagnets at zero temperature

The general formulas depend on the diffusion coefficient D N ​ B ​ W D_{NBW} of non-backtracking random walk on the given lattice that can be set to unity by a rescaling of the lattice spacing, see ref. [ 22 ] and T. Rizzo and T. Voigtmann, Arxiv:1903.01773

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